We develop a simulation algorithm that generates multivariate samples with exact means, covariances, and multivariate skewness. If required for financial applications, absence of arbitrage can be ensured. Potential applications include the simulation of risk factors for the risk management of...

The literature on the effects of parameter uncertainty on optimal portfolio choice suggests the existence of a premium for parameter uncertainty in asset returns. We use a simple extension to classical mean-variance portfolio optimization and devise a robust strategy to benefit from such a...

We consider optimal consumption and (strategic) asset allocation of an investor with uncertain lifetime. The problem is solved using a multi-stage stochastic linear programming (SLP) model to be able to generalize the closed-form solution obtained by Richard (1975). We account for aspects of the...

We extend a modular pricing framework proposed by Ericsson and Reneby (1998, 2000, 2001) to derive a valuation formula for calls on leveraged equity, similar to Toft and Prucyk (1997). In contrast to their derivation via partial differential equations, we choose a more elegant probabilistic...

We describe existing and potential financial applications of the Mahalanobis distance. After a short motivation and a discussion of important properties of this multivariate distance measure, we classify its applications in finance according to the source and nature of its input parameters....

Many numerical optimization methods use scenario trees as a discrete approximation for the true (multi-dimensional) probability distributions of the problem's random variables. Realistic specifications in asset-liability management (ALM) models can lead to tree sizes that quickly become...

We compare risk-neutral densities from equity index options across several markets during the early phase of the COVID-19 pandemic. These densities reflect market expectations regarding its economic impact. The markets reacted abruptly and simultaneously initially, but with a marked time lag...